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- W4313349212 abstract "In this chapter, we deal with the nonexistence of nonnegative solutions of the following parabolic problems: $$displaystyle begin {cases} displaystyle frac {partial u}{partial t} pm mathscr L ugeq (Kast u^p)u^q quad mbox{ in } mathbb R^N times mathbb (0,infty ),, Ngeq 1[0.1in] u(x,0) = u_0(x)ge 0 ,, text{ in } mathbb R^N, end {cases} $$ where $$u_0in L^1_{loc}({mathbb R}^N)$$ , u 0 ≥ 0 and the differential operator $$mathscr {L} u= text{div} mathscr {A}(x,u,nabla u)$$ is weakly-m-coercive for some m > 1 as already stated in Definition 2.1 . This means that $$mathscr {A}: mathbb R^N times mathbb {R}times mathbb {R}^N to mathbb {R}^N$$ is a Carathéodory function and there exists c 0 > 0 such that the inequality $$displaystyle mathscr A(x,z,xi )cdot xi ge c_0 |mathscr A(x,z,xi )|{ }^{m'} $$ holds for all $$(x,z,xi ) in mathbb {R}^Ntimes [0, infty )times mathbb {R}^N$$ with m′ = m∕(m − 1)." @default.
- W4313349212 created "2023-01-06" @default.
- W4313349212 creator A5046418385 @default.
- W4313349212 date "2022-01-01" @default.
- W4313349212 modified "2023-10-16" @default.
- W4313349212 title "Quasilinear Parabolic Inequalities with Convolution Terms" @default.
- W4313349212 cites W2022079413 @default.
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- W4313349212 doi "https://doi.org/10.1007/978-3-031-21856-9_5" @default.
- W4313349212 hasPublicationYear "2022" @default.
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